Multilevel projection methods for partial differential equations

Stephen F. McCormick9780898712926, 0898712920

The multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally refined discretizations.
This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick.

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Table of contents :
Multilevel Projection Methods for Partial Differential Equations……Page 1
Contents……Page 5
Preface……Page 7
CHAPTER 1 Fundamentals……Page 11
CHAPTER 2 Multilevel Projection Methods……Page 41
CHAPTER 3 Unigrid……Page 59
CHAPTER 4 Paradigms……Page 71
CHAPTER 5 Perspectives……Page 107
References……Page 111
Appendix A: Simple Unigrid Code……Page 113
Appendix B: More Efficient Unigrid Code……Page 117
Appendix C: Modification to Unigrid Code for Local Refinement……Page 121
Index……Page 123